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Finding the Fourth Proportional to 16,770.68, 25,144 and 7,881.04

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Solution

The fourth proportional to 16,770.68, 25,144 and 7,881.04 is: 11,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.68 : 25,144 = 7,881.04 : x
  2. Step 2: Convert to fraction form
    16,770.68/25,144 = 7,881.04/x
  3. Step 3: Cross multiply
    16,770.68x = 25,144 × 7,881.04
  4. Step 4: Simplify right side
    16,770.68x = 198,160,869.76
  5. Step 5: Solve for x
    x = 198,160,869.76/16,770.68
  6. Step 6: Final answer
    x = 11,815.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.